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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, Volume 8, Issue 2, Pages 338–348
DOI: https://doi.org/10.21638/spbu01.2021.213 (Mi vspua120) 		 
This article is cited in 8 scientific papers (total in 8 papers)

MATHEMATICS

Fixed point theorems for new contractions with application in dynamic programming

Y. Touail, D. El Moutawakil

Sultan Moulay Slimane University, Morocco, 23000, Beni-Mellal
Full-text PDF (303 kB) Citations (8)
DOI: https://doi.org/10.21638/spbu01.2021.213
Abstract: In this study, we give a generalization of the well-known Reich fixed point in the setting of general topological spaces with $\tau$ -distances. As applications of the obtained result, we prove some fixed point theorems for new contraction types in metric spaces. Moreover, we establish the existence and the uniqueness of solutions for a class of functional equations arising in dynamic programming.
Keywords: fixed point, strict contraction, generalized E-weakly contractive maps, metric spaces, Hausdorff topological spaces, dynamic programming.
Received: 06.12.2020
Revised: 04.08.2020
Accepted: 17.12.2020
English version:
Vestnik St. Petersburg University, Mathematics, 2021, Volume 8, Issue 3, Pages 206–212
DOI: https://doi.org/10.1134/S1063454121020126
Document Type: Article
UDC: 515.1
MSC: 47H10, 54H25
Language: Russian
Citation: Y. Touail, D. El Moutawakil, “Fixed point theorems for new contractions with application in dynamic programming”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:2 (2021), 338–348; Vestn. St. Petersbg. Univ., Math., 8:3 (2021), 206–212
Citation in format AMSBIB
\Bibitem{TouEl 21}
\by Y.~Touail, D.~El Moutawakil
\paper Fixed point theorems for new contractions with application in dynamic programming
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2021
\vol 8
\issue 2
\pages 338--348
\mathnet{http://mi.mathnet.ru/vspua120}
\crossref{https://doi.org/10.21638/spbu01.2021.213}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2021
\vol 8
\issue 3
\pages 206--212
\crossref{https://doi.org/10.1134/S1063454121020126}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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